Multiple choice

In how many days can a work be completed by Ram, Shyam and Suresh together? (I) Shyam and Suresh together can complete the work in 18 days. (II) Suresh and Ram together can complete the work in 15 days. (III) Ram and Shyam together can complete the work in 12 days.

  1. Only I and II

  2. Only II and III

  3. Only I and III

  4. Any two of the three

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let individual rates be R, S, Ss (Ram, Shyam, Suresh). From statements: R+S=1/18, Ss+R=1/15, S+Ss=1/12 (where all rates are per day). We need combined rate R+S+Ss. Adding all three equations: 2(R+S+Ss) = 1/18 + 1/15 + 1/12. So R+S+Ss = (1/2) × (1/18 + 1/15 + 1/12). But the answer is E (None of these), suggesting the statements together are insufficient or don't give a unique answer.

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